INDCLAS: A three-way hierarchical classes model

A three-way three-mode extension of De Boeck and Rosenberg's (1988) two-way two-mode hierarchical classes model is presented for the analysis of indiv idual differences in binary object x attribute arrays. In line with the two -way hierarchical classes model, the three-way extension represents both th e association relation among the three modes and the set-theoretical relati ons among the elements of each mode. An algorithm for fitting the model is presented and evaluated in a simulation study. The model is illustrated wit h data on psychiatric diagnosis. Finally, the relation between the model an d extant models for three-way data is discussed.